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Finding the Fourth Proportional to 526.58, 790.20 and 201.98

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Solution

The fourth proportional to 526.58, 790.20 and 201.98 is: 303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.58 : 790.20 = 201.98 : x
  2. Step 2: Convert to fraction form
    526.58/790.20 = 201.98/x
  3. Step 3: Cross multiply
    526.58x = 790.20 × 201.98
  4. Step 4: Simplify right side
    526.58x = 159,604.60
  5. Step 5: Solve for x
    x = 159,604.60/526.58
  6. Step 6: Final answer
    x = 303.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.